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When f(x) is divided by x + 3, the remainder is 0. Select which statements about f(x) must be true. f(x)...

When f(x) is divided by x + 3, the remainder is 0.
Select which statements about f(x) must be true.
f(x) has a root at 3.
x + 3 is a factor of f(x).
f(-3) = 0
f(3) = 0

Answer

1. f(x) has a root at 3. This statement is false. The correct root would be at -3, not 3.

2. x + 3 is a factor of f(x). This statement is true. If the remainder is 0 when divided by x + 3, then x + 3 is a factor.

3. f(-3) = 0 This statement is true. Since x + 3 is a factor, f(-3) = 0.

4. f(3) = 0 This statement is false. The correct value would be f(-3) = 0.

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